Given the sequence:
1, 5, 9, 13, ...........
a) To identify the common difference, use the formula:
d = a2 - a1
where, a2 = Second term
a1 = first term
Thus,
d = 5 - 1 = 4
Therefore, the common difference is 4
b) Write an equation to represent the sequence:
Use the arithmetic sequence formula:
[tex]a_n\text{ = }a_1+(n\text{ - 1) d}[/tex]where,
a1 = first term
n = number of terms
d = common diffrence
Thus the equation to represent the sequence is:
[tex]a_7=1+(7-1)4[/tex]c) To find the 7th term we have:
[tex]\begin{gathered} a_7=1+(7-1)4 \\ \\ a_7\text{ = 1 + 24} \\ a_7\text{ = 25} \end{gathered}[/tex]The 7th term is 25
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